On the Lanczos method and the method of moments
- 1 June 1978
- journal article
- Published by IOP Publishing in Journal of Physics G: Nuclear Physics
- Vol. 4 (6) , 835-842
- https://doi.org/10.1088/0305-4616/4/6/013
Abstract
The authors analyse some aspects of the numerically well-behaved Lanczos method of tri-diagonalising a matrix and the mathematically equivalent but numerically disastrous method of moments. It is shown how the elements of the Lanczos tri-diagonal matrix depend only on certain identifiable contributions to the moments, these contributions being those that do not duplicate any information about the matrix already contained in lower moments, all other contributions cancelling exactly.Keywords
This publication has 3 references indexed in Scilit:
- Exact eigenvalues and spectral distributions. (Applications in nuclear theory)Journal of Physics G: Nuclear Physics, 1976
- Computational Variants of the Lanczos Method for the EigenproblemIMA Journal of Applied Mathematics, 1972
- A numerical approach to nuclear shell-model calculationsNuclear Physics A, 1972